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Finding the Third Proportional to 67.78 and 100.17

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Solution

The third proportional to 67.78 and 100.17 is: 148.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.78 : 100.17 = 100.17 : x
  2. Step 2: Convert to fraction form
    67.78/100.17 = 100.17/x
  3. Step 3: Cross multiply
    67.78x = 100.17 × 100.17
  4. Step 4: Simplify right side
    67.78x = 10,034.40
  5. Step 5: Solve for x
    x = 10,034.40/67.78
  6. Step 6: Final answer
    x = 148.04

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.